Third-Order Conditional Lie-Backlund Symmetries of Nonlinear Reaction-Diffusion Equations

被引：8

作者：

Su, Keqin ^{[1
]}

Cao, Jie ^{[2
]}

机构：

[1] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450046, Peoples R China

[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2017年 / 2017卷

关键词：

INITIAL-VALUE PROBLEMS; PARTIAL-DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; NONINTEGRABLE EQUATIONS; BOUSSINESQ EQUATION; INVARIANT SUBSPACES; REDUCTION; CONSTRAINTS; SEPARATION; VARIABLES;

D O I：

10.1155/2017/2825416

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The third-order conditional Lie-Backlund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations. As a consequence, the exact solutions of the resulting equations are derived due to the compatibility of the governing equations and the admitted differential constraints, which are resting on the characteristic of the admitted conditional Lie-Backlund symmetries to be zero.

引用

页数：9

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